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A new kind of optimal second-order symplectic scheme for seismic wave simulations 被引量:9

A new kind of optimal second-order symplectic scheme for seismic wave simulations
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摘要 Here we introduce generalized momentum and coordinate to transform seismic wave displacement equations into Hamiltonian system.We define the Lie operators associated with kinetic and potential energy,and construct a new kind of second order symplectic scheme,which is extremely suitable for high efficient and long-term seismic wave simulations.Three sets of optimal coefficients are obtained based on the principle of minimum truncation error.We investigate the stability conditions for elastic wave simulation in homogeneous media.These newly developed symplectic schemes are compared with common symplectic schemes to verify the high precision and efficiency in theory and numerical experiments.One of the schemes presented here is compared with the classical Newmark algorithm and third order symplectic scheme to test the long-term computational ability.The scheme gets the same synthetic surface seismic records and single channel record as third order symplectic scheme in the seismic modeling in the heterogeneous model. Here we introduce generalized momentum and coordinate to transform seismic wave displacement equations into Hamiltonian system. We define the Lie operators associated with kinetic and potential energy, and construct a new kind of second order symplectic scheme, which is extremely suitable for high efficient and long-term seismic wave simulations. Three sets of optimal coefficients are obtained based on the principle of minimum truncation error. We investigate the stability conditions for elastic wave simulation in homogeneous media. These newly developed symplectic schemes are compared with common symplectic schemes to verify the high precision and efficiency in theory and numerical experiments. One of the schemes pre- sented here is compared with the classical Newmark algorithm and third order symplectic scheme to test the long-term compu- tational ability. The scheme gets the same synthetic surface seismic records and single channel record as third order symplectic scheme in the seismic modeling in the heterogeneous model.
出处 《Science China Earth Sciences》 SCIE EI CAS 2014年第4期751-758,共8页 中国科学(地球科学英文版)
基金 financially supported by the National Natural Science Foundation of China(Grant Nos.41174047,40874024&41204041)
关键词 elastic wave symplectic scheme truncation error seismic wave 地震波模拟 辛算法 二阶 哈密顿系统 稳定性条件 弹性波模拟 单通道记录 位移方程
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